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23126632704 = 283872281
BaseRepresentation
bin10101100010011101…
…000110100100000000
32012200201211200000000
4111202131012210000
5334330404221304
614342500000000
71446046064100
oct254235064400
965621750000
1023126632704
11989842149a
124595090000
132247399066
141195653200
159054c5939
hex562746900

23126632704 has 486 divisors, whose sum is σ = 80832143574. Its totient is φ = 6584094720.

The previous prime is 23126632649. The next prime is 23126632717. The reversal of 23126632704 is 40723662132.

23126632704 is a `hidden beast` number, since 2 + 3 + 12 + 6 + 632 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21069103104 + 2057529600 = 145152^2 + 45360^2 .

It is a tau number, because it is divible by the number of its divisors (486).

It is a super-2 number, since 2×231266327042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 82301044 + ... + 82301324.

Almost surely, 223126632704 is an apocalyptic number.

23126632704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23126632704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40416071787).

23126632704 is an abundant number, since it is smaller than the sum of its proper divisors (57705510870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23126632704 is an frugal number, since it uses more digits than its factorization.

23126632704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

It can be divided in two parts, 23 and 126632704, that multiplied together give a palindrome (2912552192).

The spelling of 23126632704 in words is "twenty-three billion, one hundred twenty-six million, six hundred thirty-two thousand, seven hundred four".